A5034398832- Advanced Banach Space Theory
- Approximation Theory and Sequence Spaces
- Holomorphic and Operator Theory
- Advanced Topics in Algebra
- Optimization and Variational Analysis
- Fixed Point Theorems Analysis
- Advanced Operator Algebra Research
- Advanced Topology and Set Theory
- Advanced Harmonic Analysis Research
- Functional Equations Stability Results
- Geomagnetism and Paleomagnetism Studies
- Mathematical Analysis and Transform Methods
- Magnetic and Electromagnetic Effects
- Advanced Differential Geometry Research
- Archaeological and Historical Studies
- Point processes and geometric inequalities
- Planetary Science and Exploration
- Matrix Theory and Algorithms
- Mathematical Dynamics and Fractals
- Intracranial Aneurysms: Treatment and Complications
- Algebraic and Geometric Analysis
- Mathematics and Applications
- Nonlinear Differential Equations Analysis
- Memory, violence, and history
- Topology Optimization in Engineering
Universidad de Granada
2014-2024
ORCID
2024
Freie Universität Berlin
2020
Dongguk University
2013-2015
Kyonggi University
2015
Pohang University of Science and Technology
2013
Universidade de São Paulo
2013
Poznań University of Technology
2013
Korea Institute for Advanced Study
2013
V. N. Karazin Kharkiv National University
2009
We introduce extensions of $\Delta$-points and Daugavet points in which slices are replaced by relatively weakly open subsets (super super points) or convex combinations (ccs ccs p
Política y ficción es un ensayo que, coincidiendo con los postulados de la semiótica, parte del principio que aquello denominamos como “realidad” indistinguible nuestro pensamiento, decir, modo ordenar estructurar lo percibimos según parámetros establece cultura en nos hemos educado, nuestras creencias religiosas o ideología política profesamos. En ese sentido, afirman autores, “[…] no hay «mundo» por descubrir debajo ficciones: todo podemos contemplar son observaciones hacemos ellas” (Lago...
Abstract We present an example of a Banach space whose numerical index is strictly greater than the its dual, giving negative answer to question which has been latent since beginning seventies. also show particular case in and one dual coincide.
Biogenic magnetite is a fascinating example of how nature can generate functional magnetic nanostructures. Inspired by the bacteria, an attempt made to mimic their properties, rather than structures, create living magnets at room temperature. The non‐magnetic probiotic bacteria Lactobacillus fermentum and Bifidobacteria breve are used as bioplatforms densely arrange superparamagnetic nanoparticles on external surfaces, thus obtaining artificial bacteria. Magnetic be produced using maghemite...
We study a Bishop-Phelps-Bollobás version of Lindenstrauss properties A and B. For domain spaces, we Banach spaces $X$ such that $(X,Y)$ has the property (BPBp) for every space $Y$. show in this case, there exists universal function $\eta _X(\varepsilon )$ $Y$, pair BPBp with function. This allows us to prove some necessary isometric conditions have property. also if equivalent norm, then is one-dimensional. range $Y$ $X$. In _Y(\varepsilon $X$, implies strictly stronger than The main tool...
Abstract We show that all the symmetric projective tensor products of a Banach space X have Daugavet property provided has and either is an $$L_1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msub> </mml:math> -predual (i.e., $$X^{*}$$ <mml:msup> <mml:mi>X</mml:mi> <mml:mrow> <mml:mrow/> <mml:mo>∗</mml:mo> </mml:mrow> </mml:msup> isometric to -space) or vector-valued -space. In process proving it, we get number results...
We show that the numerical index of a $c_0$-, $l_1$-, or $l_∞$-sum Banach spaces is infimum indices summands. Moreover, we prove C(K,X) and $L_1(μ,X)$ (K any compact Hausdorff space, μ positive measure) h
The aim of this paper is to review the state-of-the-art recent research concerning numerical index Banach spaces, by presenting some results found in last years and proposing a number related open problems.
In recent years the use of techniques from geometric theory Banach spaces in study function has become an important tool and we are happy that this special issue received attention both senior young researchers these areas. We have papers a wide cross-section area, covering existence theorems concerning convolution functions, distributions, ultradistributions Beurling type with supports satisfying suitable compatibility conditions Rayleigh equation two deviating arguments. Application...
We study the density of set SNA (M,Y) those Lipschitz maps from a (complete pointed) metric space M to Banach Y which strongly attain their norm (i.e., supremum defining is actually maximum). present new and somehow counterintuitive examples, we give some applications. First, show that (\mathbb T,Y) not dense in Lip _0(\mathbb for any , where \mathbb T denotes unit circle Euclidean plane. This provides first example Gromov concave every molecule exposed point ball Lipschitz-free space) does...
We show that an infinite-dimensional real Banach space with numerical index 1 satisfying the Radon–Nikodym property contains l1. It follows a reflexive or quasi-reflexive cannot be re-normed to have 1, unless it is finite-dimensional. 1991 Mathematics Subject Classification 46B20.
We find some necessary conditions for a real Banach space to be an almost CL-space. also discuss the stability of CL-spaces and by c0- l1-sums. Finally, we address question if vector-valued continuous functions can CL-space or
We study when the Daugavet equation is satisfied for weakly compact polynomials on a Banach space $X$, i.e. equality $$ \|\mathop{\rm Id}+P\|=1+\|P\| all $P:X\to X$. show that this case whe
We introduce the class of slicely countably determined Banach spaces which contains in particular all with Radon-Nikodým property and without copies <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script l 1"> <mml:semantics> <mml:msub> <mml:mi>ℓ</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:annotation encoding="application/x-tex">\ell _1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. present many examples several...